% arara: pdflatex
% !arara: indent: {overwrite: on}
\documentclass{standalone}
\usepackage{pgfplots}

\pgfplotsset{compat=1.9}
\pgfplotsset{
    /pgfplots/colormap={pink}{color(0cm)=(purple); color(1cm)=(pink!80!purple); color(2cm)=(pink!90); color(3cm)=(pink) }
}

\begin{document}

\begin{tikzpicture}
	\begin{axis}[
			view={0}{10}, axis equal, axis lines=none, colormap name =pink,
		]
		\addplot3[
			surf, shader=faceted, samples=50, domain=0:2*pi,y domain=0:2*pi, z buffer=sort, opacity=0.15]
		(
		{(sin(deg(x)))^3*cos(deg(y))},
		{(sin(deg(x)))^3*sin(deg(y))},
		{(13*cos(deg(x))-5*cos(2*deg(x))-2*cos(3*deg(x))-cos(4*deg(x)))/16}
		);
	\end{axis}
\end{tikzpicture}

\end{document}
